Determination of stresses in vlasov beam sections

Download

index.pdf

Date

2019

Author

Erdoğan, Semih

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

201
views

130
downloads

In this thesis, the normal and shear stresses in Vlasov beams are determined. The shape of the considered cross-sections may be arbitrary. For the computation of shear stresses, two-dimensional triangular finite element formulations are developed. The stiffness matrices and force vectors are derived for transversal forces, uniform torsion, and nonuniform torsion. The proposed finite element algorithm is validated through the analytical solutions, structural engineering books, and related articles. The numerical examples include beams with different cross-section types such as solid, thick-walled, closed thin-walled, and open thin-walled sections.

Subject Keywords

Girders., Vlasov Beams, Finite Element Method, Normal and Shear Stresses, Cross-section properties, Warping Function.

URI

http://etd.lib.metu.edu.tr/upload/12623878/index.pdf
https://hdl.handle.net/11511/44071

Collections

Graduate School of Natural and Applied Sciences, Thesis

Suggestions

OpenMETU
Core

Analysis of RC walls with a mixed formulation frame finite element Sarıtaş, Afşin (2013-10-01) This paper presents a mixed formulation frame element with the assumptions of the Timoshenko shear beam theory for displacement field and that accounts for interaction between shear and normal stress at material level. Nonlinear response of the element is obtained by integration of section response, which in turn is obtained by integration of material response. Satisfaction of transverse equilibrium equations at section includes the interaction between concrete and transverse reinforcing steel. A 3d plastic...
Analysis of thermomechanical cyclic behavior of unidirectional metal matrix composites Çöker, Demirkan; Nicholas, Theodore (1993-01-01) An analytical tool is developed to determine the three-dimensional stress state in a unidirectional composite subjected to axial loading and changes in temperature. A finite difference method is used to analyze a representative volume element of the composite which consists of concentric cylinders. The constituents are assumed to be elastic-plastic materials having temperature dependent properties. An iterative technique using the Prandtl-Reuss flow rule to determine incremental plastic strains is implement...
Determination of critical submergence depth at horizontal intakes under asymmetric flow conditions Göğüş, Mustafa; Köken, Mete; Haspolat, Emre (2015-07-03) The purpose of the present study is to investigate the hydraulic conditions of air-entraining vortices under asymmetrical flow conditions and derive a general expression to determine the critical submergence depth required for the formation of these vortices at horizontal intake pipes. A series of experiments were conducted in a model composed of a concrete reservoir and intake pipe which was mounted horizontally to the reservoir. Three pipes of different diameters were tested with adjustable plexiglass sid...
Construction of phase diagrams to estimate phase transitions at high pressures: A critical point at the solid liquid transition for benzene Ibrahimoglu, Beycan; Üner, Deniz; Veziroglu, Ayfer; Karakaya, Fuat; Ibrahimoglu, Beycan (2021-04-01) Phase diagrams are an integral part of the estimation of material properties in the case of high temperature and pressure. The pressure-temperature (P-T) phase diagram is used to determine the state of aggregation (solid, liquid, gaseous) of a substance under given conditions. This article presents a method to reveal new states in the phase diagram, including the possibility of the plasma state. Using the empirical data of benzene, a critical pressure beyond solid-liquid equilibrium was estimated. It is hig...
Stress analysis of symmetric aluminum composite-laminated beams under a bending moment: Materially nonlinear only Sayman, O; Belevi, M; Altinhan, M (SAGE Publications, 2005-01-01) In this study, an elastic-plastic stress analysis is carried out on symmetric laminated composite beams subjected to a bending moment. The composite beam is to be strain hardening. The Bernoulli and Euler hypotheses are assumed to be valid. The Tsai-Hill theory is used as a yield criterion in the solution. The solution is carried out for (90 degrees/0 degrees)(2), (30 degrees/-30 degrees)(2), (45 degrees/-45 degrees)(2), and (60 degrees/-60 degrees)(2) orientations. The bending moment is to be found the hig...

Citation Formats

S. Erdoğan, “Determination of stresses in vlasov beam sections,” Thesis (M.S.) -- Graduate School of Natural and Applied Sciences. Mechanical Engineering., Middle East Technical University, 2019.